Solution-After how many hours should all the bulbs be

After how many hours should all the bulbs be replaced

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(a) The time of arrival of a person at work has a uniform distribution from 8:45 am to 9:15 am. On any day, what is the probability that the person will arrive late in the office, given that office starts from 9:00am?

(b) The maintenance department of a city's electric power company finds that it is cost-efficient to replace all streetlight bulbs at once, rather than to replace the bulbs individually as they burn out. Assume that the lifetime of a bulb is normally distributed, with a mean of 3500 hours and a standard deviation of 360 hours. If the department wants no more than 2% of the bulbs to burn out before they are replaced, after how many hours should all the bulbs be replaced?

(c) Customers arrive at an ATM inside a shop at the rate of 10 per hour. Using the exponential distribution, determine (i) the probability that the next customer will arrive within 30 minutes. (ii) the probability that there will be no customer in the next hour.

Reference no: EM133049056

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After how many hours should all the bulbs be replaced

Reference no: EM133049056

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